Current Topics In Analytic Function TheoryThis volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju. |
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第 1 到 5 筆結果,共 67 筆
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More importantly, some authors have chosen to survey the progress made so far in respect of many interesting open problems, while some others have included numerous conjectures and directions for further research stemming from the ...
More importantly, some authors have chosen to survey the progress made so far in respect of many interesting open problems, while some others have included numerous conjectures and directions for further research stemming from the ...
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P- Ahuja Constraint Coefficient Problems for Subclasses of Univalent Functions H. S. Al-Amiri and D. Bshouty A New Subclass of Analytic Functions with Negative Coefficients 0. AUinta§ and Y. Eriekin Hypergeometric Functions and Elliptic ...
P- Ahuja Constraint Coefficient Problems for Subclasses of Univalent Functions H. S. Al-Amiri and D. Bshouty A New Subclass of Analytic Functions with Negative Coefficients 0. AUinta§ and Y. Eriekin Hypergeometric Functions and Elliptic ...
第 1 頁
Then, if f(U) = ft, the solution of the Dirichlet problem (the Poisson integral) is univalent on the unit disk U. Since f(U) contains always ft and lies in the convex hull of ft, Kneser used Theorem A to show the following result which ...
Then, if f(U) = ft, the solution of the Dirichlet problem (the Poisson integral) is univalent on the unit disk U. Since f(U) contains always ft and lies in the convex hull of ft, Kneser used Theorem A to show the following result which ...
第 3 頁
We say that f is a logharmonic solution of the Dirichlet problem if (a) / is of the form (3); (b) / is continous on D\ (c) f\an = /*• In Theorem 3 (Section 3) we do not require that /* is a continuous univalent function from dU onto dU.
We say that f is a logharmonic solution of the Dirichlet problem if (a) / is of the form (3); (b) / is continous on D\ (c) f\an = /*• In Theorem 3 (Section 3) we do not require that /* is a continuous univalent function from dU onto dU.
第 4 頁
the logharmonic solution of the Dirichlet problem with respect to /* and U. 2. Auxiliary Results The first two lemmas deal with the solutions of the Dirichlet problem for logharmonic mappings of the form (3).
the logharmonic solution of the Dirichlet problem with respect to /* and U. 2. Auxiliary Results The first two lemmas deal with the solutions of the Dirichlet problem for logharmonic mappings of the form (3).
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Amer analytic functions Bergman spaces bounded class of functions close-to-convex completes the proof complex plane convex functions convex sets Corollary defined denote the class Department of Mathematics derivative differential equation domains of univalence entire function euclidean extremal functions Fatou set Fractional Calculus function f(z functions with negative given H. M. Srivastava half-plane Hence holomorphic functions hyperbolic hypergeometric functions implies integral operator Julia set Lemma Little Picard Theorem locally schlicht logharmonic mapping Math meromorphic functions normal Nunokawa obtain p-valently starlike P. T. Mocanu problem Proc proof of Theorem properties radius Re(z real number Remark Rep(z result is sharp Ruscheweyh Saigo sharp for functions spherical linear invariance spherically convex starlike and convex starlike functions strictly increasing subclass Suppose TA(o unit disk Univ univalence for F(K univalent functions zero divisor zero set